Analyze the key features of the graph of the quadratic function f(x) = -x2 + 2x + 10. A. Does the parabola open up or down?
B. Is the vertex a minimum or a maximum?
C. Identify the axis of symmetry, vertex and the y-intercept of the parabola.
Answers
the parabola open down
the vertex is a maximum
the axis of symmetry is the y axis
the y-intercept of the parabola.is the point (0,10)
SOS
Answer
A: Down
B: Max
C:
AOS: x = 1Vertex: (1, 11)Y-Int: (0, 10)Step-by-step explanation:
A: If the leading coefficient (a) is positive, the graph opens UP. If it is negative, the graph opens DOWN.
B: Anytime the graph goes UP, there's a minimum. Anytime the graph goes DOWN, there's a maximum
C:
AOS: [tex]x = \frac{-b}{2a}, a=-1, b=2, c=10[/tex]
Vertex: [tex](\frac{-b}{2a}, y)[/tex]
Y-INT: let x=0 and solve for y. The coordinate of the y-intercept is (0, y).
Hope this helps!!
Related Questions
someone pleaseeeeeeeeee help me!
1. Displacement vectors of 5 km north, 3 km east, 2 km south, and 3 km west combine to a total displacement of
3 km north.
13 km west.
0 km.
2 km south.
Answers
the east and west cancel out and the 5 north being greater than the two south leave you to only have to subtract the 2 south from the 5 north
Just add the vectors together. Consider north to be positive, south to be negative, west to be positive, and east to be negative. Just remember to keep north/south and east/west separate from each other. So let's start with 0 north, 0 west.
Add 5 km north. So 0 + 5 = 5, giving us 5 north, 0 west.
Add 3 km east. So 0 - 3 = -3, giving us 5 north, -3 west (or 3 east).
Add 2 km south. So 5 - 2 = 3, giving us 3 north, -3 west (or 3 east)
Add 3 km west. So -3 + 3 = 0, giving us 3 north, 0 west
We can ignore the 0 west, and as a result we're 3 km north of where we originally started. So the total displacement is "3 km north"
Prism A is similar to Prism B. The volume of Prism A is 2080 cm³.
What is the volume of Prism B?
260 cm³
520 cm³
1040 cm³
16,640 cm³
Answers
Volume of the prism A = 2080 [tex]c m^{3} [/tex]
Let us find the ratio of the volume of prisms given in the diagram:
[tex] \frac{ V_{A}}{V_{B}} = \frac{8^{3}}{4^{3}} [/tex]
[tex] \frac{ V_{A}}{V_{B}} = 8 [/tex]
Since the condition is:
The volume of Prism A = The volume of Prism B
Therefore,
The ratio of their volumes should be 8.
[tex] \frac{ V_{A}}{V_{B}} =8 [/tex]
Since Volume of A = 2080 [tex]cm^{3} [/tex]
Plug-in the value, you would get:
[tex] \frac{2080}{8}} = V_{B}[/tex]
Ans: Volume of B = 260 [tex]cm^{3} [/tex]
The volume of prism B is [tex]\rm 260 \; cm^3[/tex] and this can be determined by taking the ratio of the volume of both the prism.
Given :
Prism A is similar to Prism B. The volume of Prism A is 2080 cm³.To determine the volume of prism B, first determine the ratio of the volume of prism A to the volume of prism B that is:
[tex]\rm \dfrac{V_A}{V_B}=\dfrac{8^3}{4^3}[/tex]
[tex]\rm \dfrac{V_A}{V_B}=8[/tex]
Now, put the value of the volume of prism A in the above expression.
[tex]\rm \dfrac{2080}{V_B} = 8[/tex]
Divide 2080 by 8 in the above equation.
[tex]\rm V_B = \dfrac{2080}{8}[/tex]
[tex]\rm V_B = 260\;cm^3[/tex]
So, the volume of prism B is [tex]\rm 260 \; cm^3[/tex].
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You have a camera with a 16 mp resolution. how many pixels are represented by that resolution?
Answers
1 MP equals--------------------------> 1 million pixels
therefore
16 MP is equal to-----------------------> X
X=16*1=16 million pixels.
the answer is 16000000 pixels (16 million pixels.)
99 POINTS! NEED HELP ASAP! WILL GIVE BRAINLIEST ANSWER!
Jenny is baking three dozen cookie sandwiches for her friend’s birthday party. She plans to transport the cookie sandwiches in the same food storage container but is not sure if all 36 will fit inside of the container.
Part A: Calculate the volume of one cookie sandwich to the nearest cubic unit. Use 3.14 for
Part B: Calculate the total capacity of the food storage container to the nearest cubic unit. Use 3.14 for [tex] use 3.14 for \pi
use this equation for Parts B and A[/tex]
Part C: Given your calculations regarding the volumes in Parts A and B, do you anticipate that Jenny will be able to transport all of the cookie sandwiches in one food storage container? In two or more complete sentences, explain your reasoning.
Answers
volume = PI x r^2 x h
volume = 3.14 x 1^2 x 1.5 = 4.71in^3 = 5 in^3 ( one cookie)
B) container volume = 3.14 x 3.5^2 x 5 = 192.3in^3 = 192 in^3
C) 36 cookies x 5in^3 = 180 in^3
this is less than the volume of the container so they will all fit
Alright to solve it
Part A)
C = 1.5
F =1
You will need to solve it for volume= length times width and times height
3.14 x 1^2 x 1.5
The answer you will get is 5 in^3
Part B) Just do the same proccess as i did on the first one
CV= 192 in^3
Part C)
C=36x5in^3
So this is going to be 180 in^3 because is the less volume.
Hope this helps
Tobey
In 10 minutes, the top three finishers in a hot dog eating contest consumed a total of 130 hot dogs. the winner, person a, ate 8 more hot dogs than the runner-up, person
b. person c finished a distant third, 10 hot dogs behind person
b. how many hot dogs did each person eat?
Answers
therefore, person a ate x+8 hotdogs
and person c ate x-10 hotdogs
they all ate 130 hotdogs in total so
x + x + 8 + x - 10 = 130
3x -2 = 130
3x = 132
x = 44
so person b ate 44 hotdogs
person a ate 8 more so 52 hotdogs
and person c ate 10 less than person b so 34 hotdogs
Final answer:
The winner, Person A, ate 52 hot dogs, the runner-up, Person B, ate 44 hot dogs, and Person C finished third with 34 hot dogs.
Explanation:
The question involves solving a system of linear equations to find out how many hot dogs each participant in a hot dog eating contest ate. Let's assign variables to each person: A for the winner, B for the runner-up, and C for the third-place finisher. According to the problem, A ate 8 more hot dogs than B, and C ate 10 fewer hot dogs than B.
Here are the equations based on the information provided:
A = B + 8 (Person A ate 8 more than person B)C = B - 10 (Person C ate 10 less than person B)A + B + C = 130 (Together they ate 130 hot dogs)Now we substitute the expressions for A and C in terms of B into the third equation:
(B + 8) + B + (B - 10) = 1303B - 2 = 1303B = 132B = 44Using the value of B, we find out A and C:A = 44 + 8 = 52C = 44 - 10 = 34Therefore, Person A ate 52 hot dogs, Person B ate 44 hot dogs, and Person C ate 34 hot dogs.
Bob is building a wooden cabin. The cabin is 303030 meters wide. He obtained a bunch of 171717 meters long wooden beams for the roof of the cabin. Naturally, he wants to place the roof beams in such an angle that each pair of opposite beams would meet exactly in the middle. What is the angle of elevation, in degrees, of the roof beams
Answers
Answer:
Step-by-step explanation:
Alright, lets get started.
Please refer the diagram I have attached.
The width of the room is 30 meters.
If two beams will be making an angle, they will half the width.
There will be a right triangle made, so using SOH CAH TOA,
[tex]cos x=\frac{adjacent}{hypotenuse}[/tex]
[tex]cos x=\frac{15}{17}[/tex]
taking cos inverse
x = [tex]cos^{-1} (\frac{15}{17} )[/tex]
x = 28.07° : Answer
Hope it will help :)
Answer:
28.07
Step-by-step explanation:
Credit to first said it
Find the 11th term from the end in the AP 56, 63, 70,..., 329
Answers
56, 63, 70,..., 329
First find the common difference:
d=a2-a1
d=63-56
d=7
Formula:
an=a1+(n-1)d
First find the number of terms.
329=56+(n-1)7
329=56+7n-7
329=49+7n
280=7n
40=n
or
n=40
We have to find 40-11=29 th term ( 11 th term from the end)
a29= 56+(29-1)7
a29=56+(28)7
a29=56+196
a29=252
Answer: 252 is 11th term from the end.
What is the factored form of 6x2 + 13x + 6? (x + 4)(x + 9) (2x + 3)(3x + 2) (2x + 6)(3x + 1) (6x + 1)(6x + 1)?
Answers
Answer: B
Step-by-step explanation:
just did on edge
I NEED HELP ASAP Use the Law of Detachment or the Law of Syllogism to draw a conclusion. 3. If Shauna is early for her meeting, she will gain a promotion. If Shauna wakes up early, she will be early for her meeting. Shauna wakes up early.
Answers
M = Shauna is early for her Meeting
P = Shauna gains a promotion
1. M -> P
2. W -> M
3. W
: . P
Ashley walks 1/3 of a mile each day. After 10 days, how many miles has she walked? 2 1/33 1/39 1/310 1/3
Answers
then, multiply the fractions, numerators and denominators separately
and you'll get 10/3, to simplify it'll be 3 1/3 or 3.3333
I need help!!!! Please if you get it right i will mark you brainliest!
Answers
hope this helps
(-1,-1) would lie in Quadrant III (3).
So, if x < 0 and y < 0, the point (x,y) would be located in Quadrant III.
A farmer can buy two types of plant food, mix a and mix
b. each cubic yard of mix a contains 20 pounds of phosphoric acid, 30 pounds of nitrogen, and 5 pounds of potash. each cubic yard of mix b contains 10 pounds of phosphoric acid, 30 pounds of nitrogen, and 10 pounds of potash. the minimum monthly requirements are 440 pounds of phosphoric acid, 990 pounds of nitrogen, and 200 pounds of potash. if mix a costs $20 per cubic yard and mix b costs $30 per cubic yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum cost? what is this cost?
Answers
To find the minimum cost of blending the plant food mixes, set up a system of equations to calculate the quantities of each mix needed. Solve the equations to find the values of x and y, then calculate the cost using the mix prices.
Explanation:To find the minimum cost of blending the plant food mixes, we need to set up a system of equations and solve for the quantities of each mix needed. Let's let x be the number of cubic yards of mix a and y be the number of cubic yards of mix b that the farmer needs.
The total pounds of phosphoric acid required from mix a and mix b should equal the minimum monthly requirement of 440 pounds. This gives us the equation: 20x + 10y = 440.
The total pounds of nitrogen required from mix a and mix b should equal the minimum monthly requirement of 990 pounds. This gives us the equation: 30x + 30y = 990.
The total pounds of potash required from mix a and mix b should equal the minimum monthly requirement of 200 pounds. This gives us the equation: 5x + 10y = 200.
Solving this system of equations will give us the values of x and y. Once we have these values, we can calculate the cost by multiplying the quantity of each mix by their respective prices and adding them together.
Zaira spent 55 hours in 2 weeks working on a science project. she worked 32 hours the first week. Write and solve an addition equation to find the amount of time she spent working the second week.
Answers
x = y−4, 2x−5y = 3
Which one-variable linear equation represents the system of equations?
2(y-4)-5y = 3
2x-5(y-4) = 3
2x-5y = y-4
2x-5(x-4) = 3
Answers
2x-5y=3 this eqn 2..
Two things are possible here...
Its either you substitute for x in equation 2... Or you substitute for y...
x=y-4 put this in the equation 2..
2x-5y=3.. Replace the x with (y-4)
2(y-4)-5y = 3...
Since this is In the option no point in substituting for y...
Hope this helped...?
The solution is Option A.
The value of the equation is 2( y - 4 ) - 5y = 3
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the value of x = y - 4 be equation (1)
Let the value of the equation 2x - 5y = 3 be equation (2)
Now ,
We know the value of the equation x = y -4
Substituting the value of equation (1) in equation (2) , we get
2 ( y - 4 ) - 5y = 3
So , the equation has now become ,
2 ( y - 4 ) - 5y = 3
Hence , the value of the equation is 2 ( y - 4 ) - 5y = 3
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Find the dimensions of a rectangle whose perimeter is 24 feet and whose area is 27 square feet.
Answers
Which expressions is not a polynomial
A. z + 1
B. 2x^4 - y
C. 6 + w
D. y^2 - ^3√y + 4
Answers
Po has a frame that is 9 in x 8 in. What is the maximum area the picture can have to fit in the frame? A) 63 sq in B) 72 sq in C) 81 sq in D) 96 sq in
Answers
Answer:
B) 72 sq in
Step-by-step explanation:
The maximum size of the picture that can fit into the frame must be equivalent to the area of the shape. Given that the frame is 9 in x 8 in, it may be safe to conclude that the frame is a 4 sides plane shape, a rectangle.
The area of a rectangle is given as the product of it's length and breadth, which are 9 in and 8 in respectively. Hence, maximum area the picture can have to fit in the frame
= 9 in * 8 in
= 72 sq in
PLEASE MATH HELP!!
The area of this circle is 96π m².
What is the area of a 30º sector of this circle?
4π m²
8π m²
9π m²
16π m²
Answers
30 degrees / 360 degrees = 0.0833
0.0833 * 96 = 8
answer is 8π m²
The area of a [tex]30^{\circ}[/tex] sector of this circle is [tex]8\pi \ m^2[/tex]. The correct option is B. [tex]8\pi \ m^2[/tex].
Given,The area of circle is [tex]96 \pi \ m^2[/tex].
We have to calculate the area of [tex]30^{\circ}[/tex] sector of this circle.
Area of circle:We know that, Area of circle is,
[tex]A=\pi r^{2}[/tex]
Here, [tex]96\pi =\pi r^{2}[/tex]
Or,
[tex]r^{2} =96[/tex]
[tex]r=\sqrt{96}[/tex]
[tex]r=4\sqrt{6}[/tex]
So, radius of the circle,
[tex]r=4\sqrt{6}[/tex] [tex]m[/tex].
Now we know that Area of a Sector of Circle
Say [tex]A_{1}[/tex],
[tex]A_{1} = \frac{\Theta}{360} \pi r^{2}[/tex]
where [tex]\Theta[/tex] is the angle subtended at the center, given in degrees, and '[tex]r[/tex]' is the radius of the circle.
So,
[tex]A_{1} =\frac{30}{360} \pi (4\sqrt{6} )^{2}[/tex]
[tex]A_{1} =\frac{1}{12} \pi \times96[/tex]
[tex]A_{1} =8\pi \ m^2[/tex].
Hence the area of a [tex]30^{\circ}[/tex] sector of this circle is [tex]8\pi \ m^2[/tex]. the correct option is B [tex]8\pi \ m^2[/tex].
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Solve 5kx + 6 = 7kx for x
Answers
5kx + 6 = 7kx
First, divide both sides by k to eliminate that variable:
5x + 6 = 7x
Then subtract 5x from each side:
6 = 2x
Lastly, divide each side by 2 to solve for x:
3 = x
Hope this helps!
Hope this helped!!
Xoxo~ Melis
Need a smart person fast!
Quadrilateral JPRA is similar to quadrilateral KDEW . PR=27 mm , DE=15 mm , and WE=25 mm .
What is AR ?
Answers
Final answer:
To find AR in quadrilateral JPRA similar to quadrilateral KDEW, use the concept of similar triangles to determine AR = 45 mm.
Explanation:
To find AR in quadrilateral JPRA that is similar to quadrilateral KDEW, we can use the concept of similar triangles.
Calculate the scale factor between the two quadrilaterals: PR/DE = AR/WE
Substitute the known values: 27/15 = AR/25 and solve for AR which gives AR = 45 mm.
How do you simplify (t^2 over 3)^5 ?
Answers
Hope this helps
Btw- I used photo-math, its a app you should probably get
How can I find the measurements for this questions?
Answers
Since the trapezoid is isosceles, U = T, V = S.
a) T = 109°
b) U = 109°
C) V = 71°
Continue the following pattern; describe the eighth figure in this pattern
Answers
Answer:
The Eighth Figure would be an 8 by 8 square with 64 small squares
Step-by-step explanation:
The Figures shown in the picture are following a fairly simple pattern. Each variation is adding 1 row and 1 column of squares. Variation 4 has a 4 by 4 square with 16 small square (4*4 = 16). If we continue with pattern then variation 8 will be an 8 by 8 square with 64 smaller squares inside it (8*8 = 64)
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Jared is in charge production in a factory that makes lightbulbs. The factory made 2648 lightbulbs over the weekend. Jared wants to pull a sample of these bulbs for testing. Which sample would give Jared the most -accurate test readings ? —a sample consisting every 20th lightbulb- a sample consisting every 40th light bulb- a sample consisting every 50th lightbulb- a sample consisting every 100th light bulb?
Answers
Answer:
A
Step-by-step explanation:
an architect created plans for a house using a scale factor of 1:16 . In the plans, the floor of the house has an area of 7 square feet. What is area of the floor in the actual house?
Answers
Answer:
The answer above me is correct
Step-by-step explanation:
Cause he big brain
Each person in a ticket line gets either one or two tickets. You are the 51st person in line. Forty percent of the people in front of you get one ticket each, and the rest of the people in front of you get two tickets each. How many tickets will have been given out when you reach the ticket booth?
Answers
50*.4=20
50*.6=30
30*2=60
60+20=80
Roger counted the kids in the cafeteria on Monday. There were 9 tables of 10 kids at the start of lunch. In the middle of lunch, 4 kids came in and sat down. How many kids were in the cafeteria then?
Answers
Write the expression-3x2+2y2+5xy-2y+5x2-3y2 in simplest form A how many terms are in the simplified expression? B how many terms in the simplified expression negative
Answers
2x^2-y^2+5xy-2y
4 terms
A) There are 3 terms in the simplified expression. B) There are 2 terms in the simplified expression that are negative.
First, let's combine the terms that are alike. We can combine the [tex]x^2[/tex] terms and the [tex]y^2[/tex] terms:
(-3 [tex]x^2[/tex] + 5 [tex]x^2[/tex] ) + (2 [tex]y^2[/tex]- 3 [tex]y^2[/tex]) + 5xy - 2y
This gives us:
2 [tex]x^2[/tex] - [tex]y^2[/tex]+ 5xy - 2y
We can then combine the xy and y terms:
2 [tex]x^2[/tex] - ( [tex]y^2[/tex]+ 2y)
This gives us:
2 [tex]x^2[/tex] - [tex]y^2[/tex]- 2y
So, the simplified expression is 2 [tex]x^2[/tex] - [tex]y^2[/tex]- 2y.
There are 3 terms in the simplified expression.
There are 2 terms in the simplified expression that are negative.
Here is a breakdown of the steps involved in simplifying the expression:
Combine the [tex]x^2[/tex] terms and the [tex]y^2[/tex] terms.
Combine the xy and y terms.
Check to make sure that there are no common factors that can be canceled.
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12 is 0.3% of what number?
Answers
Here is your answer:
The proper answer to this question is "4,000".
Your answer is 4,000!
If you need anymore help feel free to ask me!
Hope this helps!
Answer:
4,000
Step-by-step explanation:
Cylinder a has a radius of 6 cm. Cylinder b has the same height and a radius half as long as cylinder a. What fraction of the volume of cylinder a is the volume of cylinder b what fraction of the volume of cylinder is the volume of cylinder? Explain.
Answers
Answer:
the answer is 1/4
Step-by-step explanation: